Pyramid #896
Generating function
$$U_{896}(x, y) = \frac{1}{\left(1 - y\right)^{3} \left(- x \left(1 - y\right)^{2} + 1\right)^{2}}$$
Explicit formula
$$T_{896}(n, m, k) = {\binom{2 k + n - 1}{n}} {\binom{3 k + m - 2 n - 1}{m}}$$
Data table
1 3 6 1 15 21 28
2 2 2 2 2 2 2
3 -3 0 0 0 0 0
4 -12 12 -4 0 0 0
5 -25 5 -5 25 -5 0
6 -42 126 -21 21 -126 42
7 -63 252 -588 882 -882 588
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